A multipoint problem for partial integro-differential equations

• Date: 1998
• Main Authors: Vasylyshyn, P. B., Ptashnik, B. I., Василишин, П. Б., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4832
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate a multipoint problem for a linear typeless partial differential operator with variable coefficients that is perturbed by a nonlinear integro-differential term. We establish conditions for the unique existence of a solution. We prove metric theorems on lower bounds of small denominator...